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Finding the Fourth Proportional to 27,762.80, 41,648.31 and 8,038.89

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Solution

The fourth proportional to 27,762.80, 41,648.31 and 8,038.89 is: 12,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.80 : 41,648.31 = 8,038.89 : x
  2. Step 2: Convert to fraction form
    27,762.80/41,648.31 = 8,038.89/x
  3. Step 3: Cross multiply
    27,762.80x = 41,648.31 × 8,038.89
  4. Step 4: Simplify right side
    27,762.80x = 334,806,182.78
  5. Step 5: Solve for x
    x = 334,806,182.78/27,762.80
  6. Step 6: Final answer
    x = 12,059.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.